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Finding the Fourth Proportional to 868.77, 1,198.67 and 558.45

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Solution

The fourth proportional to 868.77, 1,198.67 and 558.45 is: 770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.77 : 1,198.67 = 558.45 : x
  2. Step 2: Convert to fraction form
    868.77/1,198.67 = 558.45/x
  3. Step 3: Cross multiply
    868.77x = 1,198.67 × 558.45
  4. Step 4: Simplify right side
    868.77x = 669,394.47
  5. Step 5: Solve for x
    x = 669,394.47/868.77
  6. Step 6: Final answer
    x = 770.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.